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Paper detail

Orbit Elements from Kepler Solutions in Projective Coordinates

Closed-Form Kepler solutions in projective coordinates are used to define a corresponding set of eight orbit elements and obtain their governing equations for arbitrarily-perturbed two-body dynamics. The elements and their dynamics are singularity-free in all cases besides rectilinear motion (when angular momentum vanishes). The classic J2-perturbed two-body problem is developed and used for numerical verification.

preprint2026arXivOpen access
Joseph T. A. PetersonManoranjan MajjiJohn L. Junkins
math.DSastro-ph.EPphysics.class-ph
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Joseph T. A. PetersonManoranjan MajjiJohn L. Junkins

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